Can i get tmj after teeth cleaning at dentist?

Can get soreness: Sometimes prolonged opening of jaw can cause mucle spasm..Especially if you, have TMJ disease.

Only if predisposed: You could possibly have TMJ or facial muscle pain (of short duration) after a long dental appointment (from keeping your mouth open a long time). But most dental appointments are shorter, or your mouth isn't open for the entire appointment. Try ice (on top of cloth on skin) or washcloth dipped in warm water, placed against the side with discomfort, repeat for several times to heat soak the area.

Doubtful: You could have a mild TMJ syndrome and not know about it. A cleaning may exacerbate the problem or make you more aware of it. If there is tightness or pain, don't hesitate to tell the dentist/hygienist.

Yes: Unlikely, but if your jaw was stretched wide, especially for a long time, is possible. See TMJ expert for advice. Any dentist can be a TMJ expert with the proper training and experience. Most commonly, oral surgeons, prosthodontists, and orofacial pain specialists. Ask your MD, your dentist and your dental society for referrals.